JEE Main Questions
If and b are distinct integers, prove that a−bis a factor of an−bn, whenever n is a positive integer.
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if the 7th and 18th terms of the expansion (2+a)50
Find the greatest term in the expansion of 3(1+31)20˙
In the coefficients of rth, (r+1)th,and(r+2)th
terms in the binomial expansion of (1+y)m
are in A.P., then prove that m2−m(4r+1)+4r2−2=0.
Find the remainder when 599
is divided by 13.
divides the number 101100−1
then, find the greatest value of m˙
Find the last three digits of the number 2727˙
Show that 9n+1−8n−9
is divisible by 64, where n
is a positive integer.
If 97+79 is divisible b 2n, then find the greatest value of n,wheren∈N˙